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Finding the Fourth Proportional to 27,262.98, 40,894.50 and 7,543.08

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Solution

The fourth proportional to 27,262.98, 40,894.50 and 7,543.08 is: 11,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.98 : 40,894.50 = 7,543.08 : x
  2. Step 2: Convert to fraction form
    27,262.98/40,894.50 = 7,543.08/x
  3. Step 3: Cross multiply
    27,262.98x = 40,894.50 × 7,543.08
  4. Step 4: Simplify right side
    27,262.98x = 308,470,485.06
  5. Step 5: Solve for x
    x = 308,470,485.06/27,262.98
  6. Step 6: Final answer
    x = 11,314.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.